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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="normsp_1.html#NM1">RealNormSpace</a>;<br/>



<a NAME="E1:46"/>
 <a href="rlvect_1.html#G2">RLSStruct</a>(# <span class="p1">(<span class="default"><a href="rsspace4.html#K4" target="_self">BoundedFunctions</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K10">Zero_</a> <span class="p2">(<span class="default"><a href="rsspace4.html#K4" target="_self">BoundedFunctions</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K5">RealVectSpace</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K8">Add_</a> <span class="p2">(<span class="default"><a href="rsspace4.html#K4" target="_self">BoundedFunctions</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K5">RealVectSpace</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K9">Mult_</a> <span class="p2">(<span class="default"><a href="rsspace4.html#K4" target="_self">BoundedFunctions</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K5">RealVectSpace</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> #) is   <a href="rlvect_1.html#NM2">RealLinearSpace</a>
 
;<br/>
<b>hence </b><a NAME="E2:46"/>
 <a href="rsspace4.html#K9" target="_self">R_NormSpace_of_BoundedFunctions</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> is   <a href="normsp_1.html#NM1">RealNormSpace</a>
 <b>by </b><i><a class="ref" href="rsspace4.html#T25" target="_self">Th25</a>, <a class="ref" href="rsspace3.html#T4">RSSPACE3:4</a></i>;<br/>


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